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Finding the Third Proportional to 3,881.67 and 5,807.95

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Solution

The third proportional to 3,881.67 and 5,807.95 is: 8,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.67 : 5,807.95 = 5,807.95 : x
  2. Step 2: Convert to fraction form
    3,881.67/5,807.95 = 5,807.95/x
  3. Step 3: Cross multiply
    3,881.67x = 5,807.95 × 5,807.95
  4. Step 4: Simplify right side
    3,881.67x = 33,732,319.50
  5. Step 5: Solve for x
    x = 33,732,319.50/3,881.67
  6. Step 6: Final answer
    x = 8,690.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.